A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.Using 3.14 for pi, what is the length of the radius of the circle?
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Arc Length=Center Angle/360.2.pi.r
117,75=90/360.2.3,14.r
r=117,75/1,57
r=75
Arc length is the distance between two points along a section of a curve. The length of the radius of the circle is 75 inches.
Given information-
The measure of the center angle of the circle is 90 degrees.
The length of the arc is 117.75 inches.
The value of pi is 3.14 units.
Arc length is the distance between two points along a section of a curve.
Arc angle \(s\) of a circle can be given as,
\(s=\dfrac{\theta\times\pi\times r}{180}\)
Here \(r\) is the radius of the circle,
Put the values,
\(117.5=\dfrac{3.14\times90\times r}{180}\)
Solve for \(r\),
\(r=\dfrac{117.75\times 180}{3.14\times90} \\ r=75\)
Hence the length of the radius of the circle is 75 inches.
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